I don't think players would say about any player "he's amazing, how he doesn't seem to have to work at it at all", because that comes off as an insult. Players respect guys who put in the work, and they don't respect guys who don't.
As for coaching, I think you were right with your observation that his way of coaching probably wouldn't fit with the Tigers' new way, and also, not yet said, his way might fit perfectly with Miami's way. I'm an outsider, so I have no way of knowing, but based strictly on what I've seen of him through the media over the years, I would bet he's a guy who would never want to look at charts, or attend coaches meetings, or work with the farm clubs, or anything else that would require constant diligence and effort. I see him as wanting to hang out in the clubhouse and the dugout dispensing pearls of wisdom to major leaguers as the mood strikes him. He has created value during his entire superstar career by being Miggy. I can't envision that changing.